85966961 has 2 divisors, whose sum is σ = 85966962. Its totient is φ = 85966960.

The previous prime is 85966957. The next prime is 85967003. The reversal of 85966961 is 16966958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85840225 + 126736 = 9265^2 + 356^2 .

It is a cyclic number.

It is not a de Polignac number, because 85966961 - 2² = 85966957 is a prime.

It is not a weakly prime, because it can be changed into another prime (85966921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42983480 + 42983481.

It is an arithmetic number, because the mean of its divisors is an integer number (42983481).

Almost surely, 2^85966961 is an apocalyptic number.

It is an amenable number.

85966961 is a deficient number, since it is larger than the sum of its proper divisors (1).

85966961 is an equidigital number, since it uses as much as digits as its factorization.

85966961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 699840, while the sum is 50.

The square root of 85966961 is about 9271.8369808792. The cubic root of 85966961 is about 441.3439640778.

The spelling of 85966961 in words is "eighty-five million, nine hundred sixty-six thousand, nine hundred sixty-one".